An Elastic Model for Volcanology
Produktnummer:
1837d8a1958e58437fba0564c559b18db2
| Autor: | Aspri, Andrea |
|---|---|
| Themengebiete: | Mathematical geophysics Mathematical geophysics book Mathematical geosciences Mathematical modeling geophysics Mogi model Neumann boundary problem hydrostatic pressure linear elasticity magma chamber |
| Veröffentlichungsdatum: | 09.11.2019 |
| EAN: | 9783030314743 |
| Sprache: | Englisch |
| Seitenzahl: | 126 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "An Elastic Model for Volcanology"
This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth’s interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, been given a thorough mathematical treatment. This mathematical study gives an explicit formula for the solution of the boundary value problem which generalizes the few well-known, explicit solutions found in geophysics literature. Using two distinct analytical approaches—one involving weighted Sobolev spaces, and the other using single and double layer potentials—the well-posedness of the elastic model is proven. An Elastic Model for Volcanology will be of particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.
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